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A first coin (coin #1) that has a probability p of coming up heads is tossed n times. When the first coin (coin #1) comes up heads another coin (coin #2) that has a probability r of coming up heads is tossed. Let Z be the random variable giving the number of times the second biased coin (coin #2) comes up heads.
What is the probability mass function of Z? What is the mean and variance of Z?
A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 12 hours, with a standard deviation of 3.0 hours.
There a flu epidemic that is spreading across SF County. You are a principle and are in charge of 32 teachers. You want to plan ahead and be able to estimate how many substitute teachers the school may need during this epidemic.
Calculate a 95% confidence interval for the population mean, based on the sample 10, 12, 13, 14, 15, 16, and 49.
No, there is not sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -0.65 is inside the acceptance region (-1.96,1.96).
What is a quantitative interpretation of the slope here? (Use appropriate units in your explanation.) Although some might be concerned about the intercept being negative (you can't, after all, have a negative power use), that is not a problem. Expl..
Without using formulas, explain the meaning of (a) expected value of a random variable; (b) actuarial fairness; and (c) variance of a random variable.
Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
Explain how many cars would required to go by the speed trap to be 99.8% sure which at least one driver will warm oncoming traffic of the speed trap.
Find a 95% confidence interval for the mean daily caloric intake. Interpret this interval.
Jointsoft is a great over-the-counter arthritis medication, but who will ever know about it? Unfortunately, many people with arthritis tend to be elderly and rather immobile, so advertisers of arthritis medications face limitations in ways to get ..
Complete the test at the 5% level of significance.
Examine the plot of the regression residuals against t. Is there a tendency for the residuals to have long positive and negative runs? To what do you attribute this phenomenon?
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